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Finding the Fourth Proportional to 137.74, 190.02 and 106.60

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Solution

The fourth proportional to 137.74, 190.02 and 106.60 is: 147.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.74 : 190.02 = 106.60 : x
  2. Step 2: Convert to fraction form
    137.74/190.02 = 106.60/x
  3. Step 3: Cross multiply
    137.74x = 190.02 × 106.60
  4. Step 4: Simplify right side
    137.74x = 20,256.13
  5. Step 5: Solve for x
    x = 20,256.13/137.74
  6. Step 6: Final answer
    x = 147.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.